BD bisects

BD bisects <ABC. Solve for x and find m<ABC. m<ABD=7x-5, m<CBD=4x+1 x=?

BD bisects \(\displaystyle{<}{A}{B}{C}\)</span>. Solve for x and find m\(\displaystyle{m}{<}{A}{B}{D}={7}{x}-{5},{m}{<}{C}{B}{D}={4}{x}+{1}\)</span> x=?

Answers (1)

BD bisects \(\displaystyle∠{A}{B}{C}\)
When BD bisects \(\displaystyle∠{A}{B}{C}\) then \(\displaystyle∠{A}{B}{D}=∠{D}{B}{C}\)
Subtract 4x both the sides:
Add 5 both the sides:
Divide 3 by both the sides:
Hence value of x ix 2

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